Search a number
-
+
660071906000 = 24531325387381
BaseRepresentation
bin10011001101011110101…
…10011111101011010000
32100002202112202001201122
421212233112133223100
541303311401443000
61223122143421412
765455124425133
oct11465726375320
92302675661648
10660071906000
11234a31423701
12a7b148b4868
134a324272910
1423d3a4d421a
1512283a76085
hex99af59fad0

660071906000 has 80 divisors (see below), whose sum is σ = 1718827310928. Its totient is φ = 243718848000.

The previous prime is 660071905981. The next prime is 660071906017. The reversal of 660071906000 is 609170066.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 125313168016 + 534758737984 = 353996^2 + 731272^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12667691 + ... + 12719690.

Almost surely, 2660071906000 is an apocalyptic number.

It is an amenable number.

660071906000 is an abundant number, since it is smaller than the sum of its proper divisors (1058755404928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

660071906000 is a wasteful number, since it uses less digits than its factorization.

660071906000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25387417 (or 25387401 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The spelling of 660071906000 in words is "six hundred sixty billion, seventy-one million, nine hundred six thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 25387381 50774762 101549524 126936905 203099048 253873810 330035953 406198096 507747620 634684525 660071906 1015495240 1269369050 1320143812 1650179765 2030990480 2538738100 2640287624 3173422625 3300359530 5077476200 5280575248 6346845250 6600719060 8250898825 10154952400 12693690500 13201438120 16501797650 25387381000 26402876240 33003595300 41254494125 50774762000 66007190600 82508988250 132014381200 165017976500 330035953000 660071906000